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Finding the Fourth Proportional to 4,221.56, 5,793.70 and 3,974.24

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Solution

The fourth proportional to 4,221.56, 5,793.70 and 3,974.24 is: 5,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.56 : 5,793.70 = 3,974.24 : x
  2. Step 2: Convert to fraction form
    4,221.56/5,793.70 = 3,974.24/x
  3. Step 3: Cross multiply
    4,221.56x = 5,793.70 × 3,974.24
  4. Step 4: Simplify right side
    4,221.56x = 23,025,554.29
  5. Step 5: Solve for x
    x = 23,025,554.29/4,221.56
  6. Step 6: Final answer
    x = 5,454.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.